Trigonometry Identity Solve - Cosine Double-Angle Identity - Direct

Question

Solve the trigonometric equation for x in the given domain.

$$\begin{gathered} \cos^2(x) - \sin^2(x) = -\frac{\sqrt{3}}{2} \ 	ext{for } 0 \le x < 2\pi \end{gathered}$$

Accepted Answer

$$x = \frac{5\pi}{12} 	ext{ or } x = \frac{7\pi}{12} 	ext{ or } x = \frac{17\pi}{12} 	ext{ or } x = \frac{19\pi}{12}$$

Answer

$$x = \frac{5\pi}{12}$$

Answer

$$x = \frac{5\pi}{12} 	ext{ or } x = \frac{7\pi}{12} 	ext{ or } x = \frac{17\pi}{12}$$

Answer

$$x = \frac{5\pi}{12} 	ext{ or } x = \frac{7\pi}{12} 	ext{ or } x = \frac{11\pi}{12} 	ext{ or } x = \frac{17\pi}{12} 	ext{ or } x = \frac{19\pi}{12}$$

Trigonometry Identity Solve - Cosine Double-Angle Identity - Direct

Practice:

Trigonometry Identity Solve - Cosine Double-Angle Identity - Direct